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Paper Citation Record · LEDGER

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 2 inbound Pith citation observations for arXiv:2411.11787.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.11787 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T18:15:18.970548Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:56:55.925305Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T04:56:36.753453Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact1
  • verified fuzzy22
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39374f4b-36af-414a-9d13-8ba3a5ef33ea · outbound

This paper cites Agmon, Spectral properties of Schr\" o dinger operators and scattering theory , Ann.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Agmon, Spectral properties of Schr\" o dinger operators and scattering theory , Ann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.528403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.842130Z digest=sha256:25367521d3f6ec18d1db112256c9d5db9d91186dd942ba933fc50064693286a6

Observation 64c1d456-0cc6-45d6-b651-314b4f904496 · outbound

This paper cites Beals, Optimal L^ decay for solutions to the wave equation with a potential, Comm.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beals, Optimal L^ decay for solutions to the wave equation with a potential, Comm

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.512364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.848489Z digest=sha256:564689d6c22fccddbf513e0d0d51f897abd9a59518163ea76bc9c38fdd2078ff

Observation 4faeaa67-c1a5-4c95-b661-3119afa7f436 · outbound

This paper cites Beceanu, New estimates for a time-dependent Schr\" o dinger equation , Duke Mathematical Journal (2011), Vol.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, New estimates for a time-dependent Schr\" o dinger equation , Duke Mathematical Journal (2011), Vol

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.853536Z digest=sha256:ce255ae5e558e486565808ca62ec7c3aa2aa392d2677b5f513c0d208020961a0

Observation 3fb00fee-a3a6-46d0-b5cd-a79909e1bb42 · outbound

This paper cites Beceanu, Dispersive estimates in ^3 with threshold eigenstates and resonances, Analysis & PDE 9-4 (2016), pp.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, Dispersive estimates in ^3 with threshold eigenstates and resonances, Analysis & PDE 9-4 (2016), pp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.480306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.858585Z digest=sha256:273b8f3d92381e2b79c79cb6666379895ea5dfcba94d7826aa434df562e373c8

Observation 64e0b951-0fb9-4cb7-a525-1133bc18020d · outbound

This paper cites Beceanu, G.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.466011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.863857Z digest=sha256:8d4cafc96355db24940d6ca06d2137b4046d7fb25b6cdaa95ff69af5a9d8b057

Observation d59d4f60-05f6-48f7-8b56-5ece200fc268 · outbound

This paper cites Beceanu, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.450258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.868574Z digest=sha256:e65680faf4296c51fdd7a86b299f4b13110b16790ad666a233291bd3455b5978

Observation 37b1c403-a591-4e4c-850f-1d5d609eceaf · outbound

This paper cites Beceanu, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, M

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.873320Z digest=sha256:214814556ece654cb984bd0da49e77ea0b01aec82240f52beb8ca5a92a1ff47a

Observation 290afba6-1a84-4625-ac0e-3eef07c30ab4 · outbound

This paper cites Beceanu, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Beceanu, M

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T18:15:18.878501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T18:15:18.878501Z digest=sha256:faff4280a893c708f0e5620742385592a7e0a6e0f4b4cbecd0a6aa741debadc7

Observation d3d34d19-c780-4a9d-bf64-41f606d3000f · outbound

This paper cites Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Spectral Multipliers II: Elliptic and Parabolic Operators and Bochner-Riesz Means

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-12T18:15:19.014941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.883130Z digest=sha256:bb4d7c4f6e598b11cdf346cf565b166e19c7d2373ed0f47bacaa5b23b29423f8

Observation c538ead0-d803-457f-b8a2-ec50f3611493 · outbound

This paper cites o fstr\.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions o fstr\

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.419502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.888186Z digest=sha256:4cd9b8f7f63ab68f3da39f32ea98652016cdcecb4aecbb306773088ceadd2154

Observation e8153f4c-2f95-4df8-ab31-d28c01f7bcad · outbound

This paper cites Dancona, Kato smoothing and Strichartz estimates for wave equations with magnetic potentials, Comm.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, Kato smoothing and Strichartz estimates for wave equations with magnetic potentials, Comm

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.405307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.893065Z digest=sha256:7e3ef6ae1df4d628adaf1f0918307ed062e8e9eaa5ff044b0930c122846184f9

Observation 1b12832c-bd01-4a1a-ae82-067041592ddd · outbound

This paper cites Dancona, L.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.390434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.897554Z digest=sha256:6861a9015030fe67a9827930e11ae8233a9530529f3fa761b491ecb8ca95a77e

Observation ca9d6ed3-5975-4a72-808a-3394d29c41b5 · outbound

This paper cites Dancona, L.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.375365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.902472Z digest=sha256:779d4dfe607745888f025aa099fdac51f9f4c19929fcc2a70a403b087c55ff6b

Observation 066c52e3-bce6-484a-9d64-837f83fb8175 · outbound

This paper cites Dancona, L.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Dancona, L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.361099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.907215Z digest=sha256:d9fcd8ffdd9e18601dc098a7f0278ef8c744c458005e8ee140eeede8793736aa

Observation 6792296e-5aeb-47fd-8791-dfcd4d61cddd · outbound

This paper cites Erdogan, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Erdogan, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.346549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.912432Z digest=sha256:721bce2047d92fc16cb14750311a0d43ad11c0dde26449923a7ee431e5010dd1

Observation a4f623a6-cf51-4aba-9e97-cd955913c485 · outbound

This paper cites Erdogan, M.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Erdogan, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.330909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.916997Z digest=sha256:4e05afee7feeb8c1b8ec2989a6f2ffd8e57c1b3d17126b0133a4cc520b4e31a4

Observation 9327be73-8e97-4717-a9af-618244dfb7ba · outbound

This paper cites Erdogan, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Erdogan, W

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.314127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.921364Z digest=sha256:13025cdf4a9891a37a02418fefed6d947917b9d85bf778a441afe7f7e0f6d182

Observation 57a56570-1cb0-4e5b-9ae2-3d9d2411e6ab · outbound

This paper cites an unresolved cited work.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:15:19.297962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.925719Z digest=sha256:b42994843701375a827628663e9b05e6edd9cf9ec462cfcc49b1177d2afabd37

Observation 110759a7-13fd-4d0b-90c8-cec4828661c8 · outbound

This paper cites Goldberg, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Goldberg, W

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.281891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.930040Z digest=sha256:6e3535c70be7e908545d0c739fbfba5ab3507d5020b9f99852d41715ef6408eb

Observation 2049dd85-b95c-4f21-b70c-e118f0100411 · outbound

This paper cites Ionescu, D.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Ionescu, D

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.265413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.934475Z digest=sha256:94a705c906e67773a9ead0bd90cea06941393a21e6d5f861553915d6f9dceebe

Observation b43dad7d-2d04-4dba-bad9-b5407eb7fb9c · outbound

This paper cites Ionescu, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Ionescu, W

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.247626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.939476Z digest=sha256:edd0def4173ca7482b1283dfb69cf1e31c9f614640a774057468503ebf1fc4cb

Observation e1fe0e8f-4703-47fa-9781-3b85ace864ee · outbound

This paper cites Journ\'e, A.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Journ\'e, A

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.944293Z digest=sha256:dead9f2a9dd4c3af3a0614863fff0266efaee224f39d2135699a618be4475794

Observation cf0a10af-2496-49c1-b74f-ada9e7664431 · outbound

This paper cites Kato, Wave operators and similarity for some non-selfadjoint operators, Math.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Kato, Wave operators and similarity for some non-selfadjoint operators, Math

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.948521Z digest=sha256:fc0bc07d36d8eaf1f717b4816824c98cf730d49043133521a144031bf71f852e

Observation 5d28aa6a-0f42-49f0-b993-ccce0dcfbc50 · outbound

This paper cites an unresolved cited work.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:15:19.198307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.952904Z digest=sha256:c44d6bfc1cb175a64b85d8d5532ee1e7ef019bf944bcf7ef45ad06e4d6e0dbd1

Observation f7dac534-530d-4cb1-badd-d3434c96b8b4 · outbound

This paper cites an unresolved cited work.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T18:15:19.182066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.957390Z digest=sha256:7d658e4a509281c1e7d09414b770ff2c524f65d1276314939e9f7921c9eda51d

Observation 2e72b5a2-9c09-4c3b-8208-17e44c9e4424 · outbound

This paper cites Rodnianski, W.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Rodnianski, W

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-12T18:15:18.961754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T18:15:18.961754Z digest=sha256:715601367cedc86ac284bf8f237558b5ff0da4e702d51b2f8eedef14ea916862

Observation 70a72a82-b271-4710-b420-20dac398309f · outbound

This paper cites Simon, Schr\" o dinger semigroups , Bull.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Simon, Schr\" o dinger semigroups , Bull

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.156481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.966073Z digest=sha256:35a42ec6131d9059be35da8c0278b96b6d373b719f827ab12301c1950af37f50

Observation 624fc889-798b-4b08-91af-245aa6d239b2 · outbound

This paper cites Yajima, Dispersive estimates for Schr\" o dinger equations with threshold resonance and eigenvalue , Commun.

Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions Yajima, Dispersive estimates for Schr\" o dinger equations with threshold resonance and eigenvalue , Commun

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T18:15:19.141219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-12T18:15:18.970548Z digest=sha256:8d7861aa90d3044b57f7c2b58b704df24eab4d89f5ad8c1fcb9078aa48ba17db

Pith citing papers

Observation ea7d6ff9-070b-4a99-a523-bd3e634edd06 · inbound

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds cites this paper.

Dispersive estimates for Schr\"{o}dinger's and wave equations on Riemannian manifolds Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T20:56:55.925305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T20:56:55.925305Z digest=sha256:a1e1456964f3a9aa6aeea034c4488555bb4dd46ab3df414fb93e944189b195c8

Observation 2da8f8c0-82a3-4959-8a79-0d24409ac2da · inbound

Decay and Strichartz estimates for critical electromagnetic wave equations on conic manifolds cites this paper.

Decay and Strichartz estimates for critical electromagnetic wave equations on conic manifolds Decay estimates for Schr\"{o}dinger's equation with magnetic potentials in three dimensions

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:56:36.756436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T04:56:36.500951Z digest=sha256:57a63f4101aceb74b823eb9db9a6b225c31e343fcf3c8912a9d8034e41420721